What is the difference in the amounts between two schemes of discount, the first one being a discount of 20%, and the second one, 2 successive discounts of 15% and 5%, both given on shopping of Rs. 5,050?

Correct option is C

​Given:

Original Price = ₹5,050

Scheme 1: Single discount = 20%

Scheme 2: Successive discounts = 15% and 5%

Formula Used:

Single Discount:

Amount = $$\text{Price} \times (1 - \frac{\text{Discount \%}}{100})$$​​

Successive Discounts:

Amount = $$\text{Price} \times (1 - \frac{d_1}{100}) \times (1 - \frac{d_2}{100})$$​​

Solution:

Scheme 1:

Amount = $$5050 \times \frac{80}{100} = 4040$$​​

Scheme 2:

Amount = $$5050 \times \frac{85}{100}\times\frac{95}{100}$$​​

= 4077.875

Difference = 4077.875 - 4040 = 37.875